论文标题
小尺度上的Cayley-Tree Ising旋转的量子退火
Quantum annealing of Cayley-tree Ising spins at small scales
论文作者
论文摘要
正在努力开发能够解决组合优化问题的量子退火器。挑战是哈密顿编程和大规模实施。在这里，我们报告了量子退火演示，其中包括$ n = 22 $的旋转在各种Cayley Tree图上映射的量子。实验是用rydberg-atom量子模拟器进行的，其中rubidium单原子以三维空间排列，以使它们的rydberg原子和封锁强耦合分别代表每个图的节点和边缘。 $ z = 3 $邻居的三个不同的cayley-tree图构建了最多$ s = 4 $ shells，并探测了其地面阶段和Néel的订单编队。与模型计算良好的一致性，直接观察到了普通的凯利树中的抗铁磁相和双中心开cayley树中沮丧的竞争地面。这证明了量子模拟器中高维Qubit连接编程的可能性。
Significant efforts are being directed towards developing a quantum annealer capable of solving combinatorial optimization problems. The challenges are Hamiltonian programming and large-scale implementations. Here we report quantum annealing demonstration of Ising Hamiltonians programmed with up to $N=22$ spins mapped on various Cayley tree graphs. Experiments are performed with a Rydberg-atom quantum simulator, in which rubidium single atoms are arranged in three dimensional space in such a way that their Rydberg atoms and blockaded strong couplings respectively represent the nodes and edges of each graph. Three different Cayley-tree graphs of $Z=3$ neighbors and of up to $S=4$ shells are constructed, and their ground-state phases and Néel's order formations are probed. In good agreement with model calculations, the anti-ferromagnetic phase in regular Cayley trees and frustrated competing ground-states in a dual-center Cayley tree are directly observed. This demonstrates the possibilities of high-dimensional qubit connection programming in quantum simulators.
